What is the Greatest Common Factor of 678 and 683?

Greatest common factor (GCF) of 678 and 683 is 1.

GCF(678,683) = 1

We will now calculate the prime factors of 678 and 683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 678 and 683.

How to find the GCF of 678 and 683?

We will first find the prime factorization of 678 and 683. After we will calculate the factors of 678 and 683 and find the biggest common factor number .

Step-1: Prime Factorization of 678

Prime factors of 678 are 2, 3, 113. Prime factorization of 678 in exponential form is:

678 = 2¹ × 3¹ × 113¹

Step-2: Prime Factorization of 683

Prime factors of 683 are 683. Prime factorization of 683 in exponential form is:

683 = 683¹

Step-3: Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339

Step-4: Factors of 683

List of positive integer factors of 683 that divides 678 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 678 and 683. The biggest common factor number is the GCF number.
So the greatest common factor 678 and 683 is 1.

Also check out the Least Common Multiple of 678 and 683